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Simplifying 4x + -3 + 7x + -5 = 2x + 2 Reorder the terms: -3 + -5 + 4x + 7x = 2x + 2 Combine like terms: -3 + -5 = -8 -8 + 4x + 7x = 2x + 2 Combine like terms: 4x + 7x = 11x -8 + 11x = 2x + 2 Reorder the terms: -8 + 11x = 2 + 2x Solving -8 + 11x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 11x + -2x = 2 + 2x + -2x Combine like terms: 11x + -2x = 9x -8 + 9x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 9x = 2 + 0 -8 + 9x = 2 Add '8' to each side of the equation. -8 + 8 + 9x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 2 + 8 9x = 2 + 8 Combine like terms: 2 + 8 = 10 9x = 10 Divide each side by '9'. x = 1.111111111 Simplifying x = 1.111111111
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